一类成瘾函数的设计及其应用  

A Addiction Utility Function Design and Its Application

作　　者：浦科学[1] 张荣[1] 

机构地区：[1]重庆大学经济与工商管理学院,重庆400030

出　　处：《系统工程》2013年第8期123-126,共4页Systems Engineering

基　　金：教育部人文社会科学研究项目(12YJCZH166);国家自然科学基金资助项目(71071172);全国教育科学"十二五"规划教育部青年项目(EFA110343)

摘　　要：对于吸烟等导致的成瘾行为,Becker和Murphy提出了著名的"理性成瘾"理论,并构建了"理性成瘾"模型,之后有大量的实证工作也是据此进行研究,但由于"理性成瘾"模型的特殊要求,效用函数在设定过程中需要引进许多参数约束,而且参数约束在求解过程中并不十分必要,甚至会导致结果分析趋于复杂。鉴于此,本文构造了一类简洁且具有实用功能的成瘾函数,它不仅满足了"理性成瘾"的基本假设,集中体现了"理性成瘾"的成瘾特征,而且没有额外的参数及其约束条件,具有一个非常简洁的数学表达形式,如果将其代入"理性成瘾"模型进行分析,则可求得烟草消费的最优路径。Smoking can lead to addiction behavior, the ＂rational addiction＂ model by Becker and Murphy gave the famous theoretical framework for the analysis of addiction behavior. A great deal of theoretical and empirical work was carried out in this line. Because of the special requirements to be satisfied by the utility function, the existing literatures often need to introduce many parameters and constraints. However, some parameters and constraints do not seem to be very necessary for the problem itself, and sometimes may make the analysis more complex. In view of this, we will construct a new class of utility functions, which not only meet the basic assumptions of the rational addiction, but also have a very simple mathematical form. Without additional parameters and constraints, the new utility function is easier to concentrate on the addictive nature. If use this utility function to analysis ＂rational addiction＂ model, it can obtain the optimal path of tobacco consumption.

关 键 词：理性成瘾 烟草消费 动态优化 

分 类 号：F062[经济管理—政治经济学]